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arXiv · 2205.03188

A Cyclic Analogue of Stanley's Shuffle Theorem

Kathy Q. Ji·Dax T. X. Zhang
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Abstract

We introduce the cyclic major index of a cycle permutation and give a bivariate analogue of enumerative formula for the cyclic shuffles with a given cyclic descent numbers due to Adin, Gessel, Reiner and Roichman, which can be viewed as a cyclic analogue of Stanley's Shuffle Theorem. This gives an answer to a question of Adin, Gessel, Reiner and Roichman, which has been posed by Domagalski, Liang, Minnich, Sagan, Schmidt and Sietsema again.

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Kathy Q. Ji, Dax T. X. Zhang. 2022-05-09. A Cyclic Analogue of Stanley's Shuffle Theorem. https://arxiv.org/abs/2205.03188

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